document.write( "Question 524279: Twice a number is decreased by 9, and this sum is multiplied by 4. The result is 8 less than 10 times the number. What is the number?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #347722 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Twice a number is decreased by 9, and this sum is multiplied by 4. The result is 8 less than 10 times the number. What is the number?
\n" ); document.write( ":
\n" ); document.write( "Write an equation for exactly what it says
\n" ); document.write( "4(2n - 9) = 10n - 8
\n" ); document.write( "8n - 36 = 10n - 8
\n" ); document.write( "-36 + 8 = 10n - 8n
\n" ); document.write( "-28 = 2n
\n" ); document.write( "n = $\"%28-28%29%2F2\"$
\n" ); document.write( "n = -14
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works in the original equation
\n" ); document.write( "4(2(-14) - 9) = 10(-14) - 8
\n" ); document.write( "4(-28 - 9) = -140 - 8
\n" ); document.write( "4(-37) = -148
\n" ); document.write( "-148 = -148; confirms our solution of n=-14 \n" ); document.write( "

\n" );